The outcome of Newtonian heating on Couette flow of viscoelastic dusty fluid along with the heat transfer in a rotating frame: second law analysis

Dolat Khan; Poom Kumam; Ata Ur Rahman; Gohar Ali; Kanokwan Sitthithakerngkiet; Wiboonsak Watthayu; Ahmed M Galal

doi:10.1016/j.heliyon.2022.e10538

The outcome of Newtonian heating on Couette flow of viscoelastic dusty fluid along with the heat transfer in a rotating frame: second law analysis

Heliyon. 2022 Sep 6;8(9):e10538. doi: 10.1016/j.heliyon.2022.e10538. eCollection 2022 Sep.

Authors

Dolat Khan^{1

2}, Poom Kumam^{1

2

3}, Ata Ur Rahman⁴, Gohar Ali⁴, Kanokwan Sitthithakerngkiet⁵, Wiboonsak Watthayu¹, Ahmed M Galal^{6

7}

Affiliations

¹ Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand.
² Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand.
³ Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan.
⁴ Department of Mathematics, City University of Science & Information Technology, Peshawar, KPK, Pakistan.
⁵ Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok (KMUTNB), 1518, Wongsawang, Bangsue, Bangkok 10800, Thailand.
⁶ Department of Mechanical Engineering, College of Engineering in Wadi Alddawasir, Prince Sattam Bin Abdulaziz University, Saudi Arabia.
⁷ Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, P.O 35516, Mansoura, Egypt.

Abstract

The outcome of Newtonian heating on the viscoelastic fluid plays a vital role in daily life applications such as conjugate heat transfer around fins, heat exchanger, solar radiation, petroleum industry, etc. Also, rotation of viscoelastic fluid has various importance in product-making industries and engineering. Viscoelastic dusty fluids and Newtonian heating are applicable in nuclear reactors, gas cooling systems, control temperature of the system and centrifugal separators, etc. Therefore, based on this motivation, the present study presents the Newtonian heating effect on the dusty viscoelastic fluid. Additionally, a free convective heat transfer is taken for Couette flow in a rotating frame along with a uniform applied magnetic field. The dust particles possess complex velocities due to rotation and therefore it is the combination of the primary and secondary velocities. For the specified flow, the entropy generation and Bejan number are also computed. Poincare-Light Hill technique has been used for the solution of the system of partial differential equations. The velocity profile for dust particles and fluid are discussed in this article. The influence of different parameters on the Nusselt number, temperature profile, velocity of fluid and dust particle is discussed thoroughly.

Keywords: Assumed periodic solution; Free convection; Newtonian heating; Rotational flow; Two-phase MHD flow; Viscoelastic fluid.